Question

Write a rule for the geometric sequence with the given description: The first term is −3, and each term is 5 times the previous term. Then, use the rule to solve for the 9th term. All work must be shown.

Answer 1

Answer: -1171875

Explanation:

From the question,

a = first term = -3

r = common ratio = 5

The ninth term will be:

= ar^8

= -3 × 5^8

= -3 × 390625

= -1171875

Therefore, the ninth term is -1171875.